Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
480c |
Isogeny class |
Conductor |
480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
207360 = 29 · 34 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-180] |
[a1,a2,a3,a4,a6] |
j |
38614472/405 |
j-invariant |
L |
1.743746406123 |
L(r)(E,1)/r! |
Ω |
1.743746406123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
480a3 960k3 1440l3 2400r2 |
Quadratic twists by: -4 8 -3 5 |